Statistical Modeling of Curves Using Shapes and Related Features

• Published in: Journal of the American Statistical Association Vol. 107; no. 499; pp. 1152 - 1165
• Main Authors: Kurtek, Sebastian, Srivastava, Anuj, Klassen, Eric, Ding, Zhaohua
• Format: Journal Article
• Language: English
• Published: Alexandria Taylor & Francis Group 01.09.2012; Taylor & Francis Ltd
• Subjects: Brain; Computer analysis; Covariance; Curves; Data analysis; DT-MRI fibers; Fibers; Geodesy; Geometric shapes; humans; Magnetic resonance imaging; Model testing; Modelling; NMR; Nuclear magnetic resonance; Parameterization; Path-straightening; Probabilities; Protein backbones; Riemann manifold; Samples; Shape analysis; Square-root function; Square-root velocity function; Statistical models; Statistics; Tangents; Theory and Methods

Motivated by the problems of analyzing protein backbones, diffusion tensor magnetic resonance imaging (DT-MRI) fiber tracts in the human brain, and other problems involving curves, in this study we present some statistical models of parameterized curves, in , in terms of combinations of features suc...